Two validation cases for high-speed turbulent flows are considered. The first case is the supersonic flow at M = 3 \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$M=3$$\end{document} and Re h = 4.9 · 10 6 \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\textrm{Re}_h=4.9\cdot 10^6$$\end{document} over the 45 \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$45^{\circ }$$\end{document}-inclined backward facing step. The second one is the axisymmetric high-Reynolds dual-stream jet: slightly underexpanded at the bypass duct and subsonic at the main duct. The flows are simulated using higher-accuracy scale-resolving numerical algorithm implementing the hybrid RANS-LES method. The evaluation of numerical results is done by comparing with the available experimental data obtained by ITAM SB RAS, Novosibirsk, Russia. In contrast to the Menter SST RANS model considered, the scale-resolving method turned out to be able to correctly reproduce the complicated unsteady turbulent flow with shocks in both cases. It is shown that the impact of unsteady vortex structures on the flow physics, that is captured by the scale-resolving approaches, is of crucial importance. The IDDES method requires rather moderate computational costs compared with the requirements both of the fully LES and DNS approaches for the considered turbulent flows.


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